Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ...Robert Heward, 1833 - 150 σελίδες |
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Σελίδα 2
... Note . See Note . See Note . XV . A magnitude is said to be greater than another by a certain magnitude , when this last - mentioned magnitude being taken from the first , the remainder is equal to the second . And a magnitude is said ...
... Note . See Note . See Note . XV . A magnitude is said to be greater than another by a certain magnitude , when this last - mentioned magnitude being taken from the first , the remainder is equal to the second . And a magnitude is said ...
Σελίδα 3
To which is Added an Appendix ... Thomas Perronet Thompson. See Note . XXIII . When a thing is said to be so and so by construction , the meaning is , that it has at some previous period of the operations in hand , been made to ... Note. ...
To which is Added an Appendix ... Thomas Perronet Thompson. See Note . XXIII . When a thing is said to be so and so by construction , the meaning is , that it has at some previous period of the operations in hand , been made to ... Note. ...
Σελίδα 8
... sum of B and D. And in like manner if to the sum of A and C be added another mag- nitude equal to A , and to the sum of B and D another magnitude equal to B. And so on . * I.Nom.26 . See Note . COR . 11 . 8 bis INTERCALARY BOOK .
... sum of B and D. And in like manner if to the sum of A and C be added another mag- nitude equal to A , and to the sum of B and D another magnitude equal to B. And so on . * I.Nom.26 . See Note . COR . 11 . 8 bis INTERCALARY BOOK .
Σελίδα 9
... Note . COR . 11 . The double of a greater magnitude is greater than the double of a less . And so of any other equimultiples . If A be greater than B , the double of A is A greater than the double ... Note . See Note . of B , is PROP . I. 9.
... Note . COR . 11 . The double of a greater magnitude is greater than the double of a less . And so of any other equimultiples . If A be greater than B , the double of A is A greater than the double ... Note . See Note . of B , is PROP . I. 9.
Άλλες εκδόσεις - Προβολή όλων
Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles alternate angles angle ABC angle ACB angle BAC angular points aret assigned point Axiom axis base BC bisected called CEGDHF central distances change of place circle coincide throughout Constr demonstrated double equal angles equal straight lines equal to AC equal to EF equilateral triangle Euclid exterior angle extremities four right angles Geometry given straight line greater hard body inclose a space instance INTERC Intercalary Book ist equal join line AC magnitude manner meet opposite angles parallelogram parity of reasoning pass perpendicular prolonged Prop PROPOSITION proved quadrilateral radii radius rectilinear figure remain unmoved remaining angle remains at rest respectively SCHOLIUM self-rejoining line shown side BC side opposite situation sphere whose centre straight line BC tessera THEOREM.-If third side triangle ABC turned unlimited length Wherefore